Question

A boy pulls a wagon a distance of 1.2 km. An applied force of 22N is directed at an angle of 25 degrees above the horizontal. How much work is done?

Answer 1

Answer: 23.92 kJ

Explanation:

Given

Distance moved by wagon is
`d=1.2\ km`

Force
`F=22\ N` directed at an angle of
`25^(\circ)` above the horizontal

Only the horizontal component of the force that is,
`22\cos 25^(\circ)`the wagon will cause the wagon to move, while the other force is perpendicular to the wagon and thus produce zero displacements.

Work done is

`W=F\cdot s\\W=22* 1.2* 10^3* \cos 25\\W=23.92\ kJ`

thus, 23.92 kJ of work is done on the wagon.